Information on Result #701585
Linear OA(866, 73, F8, 54) (dual of [73, 7, 55]-code), using the cyclic code C(A) with length 73 | 83−1, defining set A = {1,2,3,4,5,6,7,9,11,12,13,14,17,18,25,26,27,33,34,35,36,42}, and minimum distance d ≥ |{−9,12,33,…,9}|+1 = 55 (BCH-bound)
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
- BCH-Codes [i]
- Cyclic Codes (BCH-Bound) (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(866, 73, F8, 53) (dual of [73, 7, 54]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(867, 74, F8, 54) (dual of [74, 7, 55]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(865, 72, F8, 53) (dual of [72, 7, 54]-code) | [i] | Truncation | |
| 4 | Linear OA(864, 71, F8, 52) (dual of [71, 7, 53]-code) | [i] | ||
| 5 | Linear OA(863, 70, F8, 51) (dual of [70, 7, 52]-code) | [i] | ||
| 6 | Linear OA(862, 69, F8, 50) (dual of [69, 7, 51]-code) | [i] | ||
| 7 | Linear OA(861, 68, F8, 49) (dual of [68, 7, 50]-code) | [i] | ||
| 8 | Linear OA(860, 67, F8, 48) (dual of [67, 7, 49]-code) | [i] | ||
| 9 | Linear OA(8139, 146, F8, 109) (dual of [146, 7, 110]-code) | [i] | Repeating Each Code Word | |
| 10 | Linear OA(8138, 144, F8, 109) (dual of [144, 6, 110]-code) | [i] | ||
| 11 | Linear OA(8137, 142, F8, 109) (dual of [142, 5, 110]-code) | [i] | ||
| 12 | Linear OA(873, 80, F8, 55) (dual of [80, 7, 56]-code) | [i] | Juxtaposition | |
| 13 | Linear OA(874, 81, F8, 56) (dual of [81, 7, 57]-code) | [i] | ||
| 14 | Linear OA(875, 82, F8, 57) (dual of [82, 7, 58]-code) | [i] | ||
| 15 | Linear OA(876, 83, F8, 58) (dual of [83, 7, 59]-code) | [i] | ||
| 16 | Linear OA(878, 85, F8, 59) (dual of [85, 7, 60]-code) | [i] | ||
| 17 | Linear OA(879, 86, F8, 60) (dual of [86, 7, 61]-code) | [i] | ||
| 18 | Linear OA(880, 87, F8, 61) (dual of [87, 7, 62]-code) | [i] | ||
| 19 | Linear OA(882, 89, F8, 62) (dual of [89, 7, 63]-code) | [i] | ||
| 20 | Linear OA(883, 90, F8, 63) (dual of [90, 7, 64]-code) | [i] | ||
| 21 | Linear OA(885, 92, F8, 64) (dual of [92, 7, 65]-code) | [i] | ||
| 22 | Linear OA(886, 93, F8, 65) (dual of [93, 7, 66]-code) | [i] | ||
| 23 | Linear OA(887, 94, F8, 66) (dual of [94, 7, 67]-code) | [i] | ||
| 24 | Linear OA(888, 95, F8, 67) (dual of [95, 7, 68]-code) | [i] | ||
| 25 | Linear OA(889, 96, F8, 68) (dual of [96, 7, 69]-code) | [i] | ||
| 26 | Linear OA(890, 97, F8, 69) (dual of [97, 7, 70]-code) | [i] | ||
| 27 | Linear OA(893, 100, F8, 70) (dual of [100, 7, 71]-code) | [i] | ||
| 28 | Linear OA(894, 101, F8, 71) (dual of [101, 7, 72]-code) | [i] | ||
| 29 | Linear OA(897, 104, F8, 72) (dual of [104, 7, 73]-code) | [i] | ||
| 30 | Linear OA(898, 105, F8, 73) (dual of [105, 7, 74]-code) | [i] | ||
| 31 | Linear OA(899, 106, F8, 74) (dual of [106, 7, 75]-code) | [i] | ||
| 32 | Linear OA(8100, 107, F8, 75) (dual of [107, 7, 76]-code) | [i] | ||
| 33 | Linear OA(8122, 129, F8, 94) (dual of [129, 7, 95]-code) | [i] | ||
| 34 | Linear OA(8123, 130, F8, 95) (dual of [130, 7, 96]-code) | [i] | ||
| 35 | Linear OA(8124, 131, F8, 96) (dual of [131, 7, 97]-code) | [i] | ||
| 36 | Linear OA(8125, 132, F8, 97) (dual of [132, 7, 98]-code) | [i] | ||
| 37 | Linear OA(8126, 133, F8, 98) (dual of [133, 7, 99]-code) | [i] | ||
| 38 | Linear OA(8127, 134, F8, 99) (dual of [134, 7, 100]-code) | [i] | ||
| 39 | Linear OA(8128, 135, F8, 100) (dual of [135, 7, 101]-code) | [i] | ||
| 40 | Linear OA(8129, 136, F8, 101) (dual of [136, 7, 102]-code) | [i] | ||
| 41 | Linear OA(892, 99, F8, 70) (dual of [99, 7, 71]-code) | [i] | ||
| 42 | Linear OA(896, 103, F8, 72) (dual of [103, 7, 73]-code) | [i] | ||
| 43 | Linear OA(8131, 138, F8, 102) (dual of [138, 7, 103]-code) | [i] | ||
| 44 | Linear OA(8148, 155, F8, 115) (dual of [155, 7, 116]-code) | [i] | ||
| 45 | Linear OA(8130, 137, F8, 102) (dual of [137, 7, 103]-code) | [i] | ||
| 46 | Linear OA(869, 76, F8, 55) (dual of [76, 7, 56]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 47 | Linear OA(871, 78, F8, 56) (dual of [78, 7, 57]-code) | [i] | ✔ | |
| 48 | Linear OA(879, 86, F8, 63) (dual of [86, 7, 64]-code) | [i] | ✔ | |
| 49 | Linear OA(875, 82, F8, 60) (dual of [82, 7, 61]-code) | [i] | ✔ | |
| 50 | Linear OA(893, 100, F8, 72) (dual of [100, 7, 73]-code) | [i] | ✔ | |
| 51 | Linear OA(890, 97, F8, 70) (dual of [97, 7, 71]-code) | [i] | ✔ | |
| 52 | Linear OA(883, 90, F8, 64) (dual of [90, 7, 65]-code) | [i] | ✔ | |
| 53 | Linear OA(887, 97, F8, 61) (dual of [97, 10, 62]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 54 | Linear OA(882, 92, F8, 57) (dual of [92, 10, 58]-code) | [i] | ✔ | |